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Finding the Third Proportional to 126,144 and 271,872

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Solution

The third proportional to 126,144 and 271,872 is: 585,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,144 : 271,872 = 271,872 : x
  2. Step 2: Convert to fraction form
    126,144/271,872 = 271,872/x
  3. Step 3: Cross multiply
    126,144x = 271,872 × 271,872
  4. Step 4: Simplify right side
    126,144x = 73,914,384,384
  5. Step 5: Solve for x
    x = 73,914,384,384/126,144
  6. Step 6: Final answer
    x = 585,952.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.